An isosceles triangle is a triangle with 2 congruent sides. The congruent sides are called legs and the third side is called the base. So if 2 sides of a triangle have the same length, then we say that the triangle is isosceles.
Answer:
What is the image of the point (6, -4) when rotated 180 degrees anticlockwise about the origin?
(-6, -4)
(-6, 4)
(4, 6)
(-4, -6)
the answer is (-6, 4).
F(x)=x^2-4x+7
My work is attached below
Answer:
The relationship between flying time in seconds in the number of times the insect beats its wings:
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
In our case,
Let 'x' be the flying time in seconds
Ley 'y' be the number of times the insect beats its wings
Given that a certain insect can beat its wings 120 times per second.
It indicates that the rate of change or slope = m = 120
In our case the y-intercept b = 0, as there is no initial condition mentioned here.
Now, substituting m = 120 and b = 0 in the slope-intercept form
y = mx+b
y = 120x+0
y = 120x
Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7